Details

sample54.0ms

Algorithm

intervals

Results

16.0ms	50×	body	1280	valid
10.0ms	138×	body	80	valid
10.0ms	38×	body	640	valid
4.0ms	21×	body	320	valid
1.0ms	9×	body	160	valid

simplify21.0ms

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize11.0ms

Local error

Found 3 expressions with local error:

2.5b	(- (cbrt (+ x 1)) (cbrt x))
0.6b	(cbrt x)
0.2b	(cbrt (+ x 1))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
56×	`*-un-lft-identity`
42×	`prod-diff`
41×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
9×	`distribute-lft-out`
7×	`fma-neg`
5×	`add-log-exp`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

3 → 102

Calls

3 calls:

Slowest

31.0ms	(- (cbrt (+ x 1)) (cbrt x))
2.0ms	(cbrt (+ x 1))
1.0ms	(cbrt x)

series459.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

305.0ms	(cbrt x)
118.0ms	(- (cbrt (+ x 1)) (cbrt x))
35.0ms	(cbrt (+ x 1))

simplify1.0s

Counts: 111 → 111

prune961.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.3b	(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
0.2b	(cbrt (+ 1 x))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`cbrt-prod`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
6×	`pow1` `associate-r` `associate-l` `add-exp-log`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`cbrt-div` `flip3-+` `associate-*r/` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

Slowest

73.0ms	(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
5.0ms	(cbrt (+ 1 x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series748.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

281.0ms	(cbrt x)
266.0ms	(cbrt x)
159.0ms	(* (cbrt x) (+ (cbrt x) (cbrt (+ 1 x))))
42.0ms	(cbrt (+ 1 x))

simplify2.5s

Counts: 89 → 89

prune937.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

Slowest

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

340.0ms	(cbrt x)
294.0ms	(cbrt x)
265.0ms	(cbrt x)
262.0ms	(cbrt x)

simplify3.4s

Counts: 68 → 68

prune945.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

Slowest

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

279.0ms	(cbrt x)
275.0ms	(cbrt x)
254.0ms	(cbrt x)
254.0ms	(cbrt x)

simplify3.0s

Counts: 68 → 68

prune990.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

regimes76.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch5.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

524.0ms	1759×	body	1280	valid
269.0ms	1220×	body	640	valid
201.0ms	664×	body	320	valid
201.0ms	4030×	body	80	valid
68.0ms	327×	body	160	valid